Why holes are not like electrons. III. How holes in the normal state turn into electrons in the superconducting state

Details Why holes are not like electrons. III. How holes in the normal state turn into electrons in the superconducting state Why holes are not like electrons. III. How holes in the normal state turn into electrons in the superconducting state

2009-01-23

arxiv.org/abs/0901.3612v2

Int. J. Mod. Phys. B 23, 3035 (2009)

Physics

Condensed Matter

Superconductivity

Continuation of Phys.Rev.B65, 184502 (2002) = cond-mat/0109385 (2001) and Phys.Rev.B 71, 104522 (2005) = cond-mat/0504013 (200

Scientific paper

10.1142/S0217979209052765

In recent work, we discussed the difference between electrons and holes in energy band in solids from a many-particle point of view, originating in the electron-electron interaction[1], and from a single particle point of view, originating in the electron-ion interaction[2]. We proposed that superconductivity in solids only occurs when the Fermi level is close to the top of a band (hole carriers), that it originates in `undressing' of carriers from $both$ the electron-electron and the electron-ion interaction, and that as a consequence holes in the normal state behave like electrons in the superconducting state[3]. However, the connection between both undressing effects was left unclear, as was left unclear how the transformation from hole behavior to electron behavior occurs. Here we clarify these questions by showing that the same electron-electron interaction physics that promotes pairing of hole carriers and undressing of carriers from the electron-electron interaction leads to undressing of carriers from the electron-ion interaction and transforms the behavior of carriers from hole-like to electron-like. Furthermore this phenomenon is connected with the expulsion of negative charge that we predict to occur in superconductors. These unexpected connections support the validity of our theoretical framework, the theory of hole superconductivity, to explain superconductivity in solids.

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